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Finding the Fourth Proportional to 3,965.12, 5,930.32 and 3,239.36

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Solution

The fourth proportional to 3,965.12, 5,930.32 and 3,239.36 is: 4,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.12 : 5,930.32 = 3,239.36 : x
  2. Step 2: Convert to fraction form
    3,965.12/5,930.32 = 3,239.36/x
  3. Step 3: Cross multiply
    3,965.12x = 5,930.32 × 3,239.36
  4. Step 4: Simplify right side
    3,965.12x = 19,210,441.40
  5. Step 5: Solve for x
    x = 19,210,441.40/3,965.12
  6. Step 6: Final answer
    x = 4,844.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.